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Finding the Third Proportional to 133,206 and 285,411

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Solution

The third proportional to 133,206 and 285,411 is: 611,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206 : 285,411 = 285,411 : x
  2. Step 2: Convert to fraction form
    133,206/285,411 = 285,411/x
  3. Step 3: Cross multiply
    133,206x = 285,411 × 285,411
  4. Step 4: Simplify right side
    133,206x = 81,459,438,921
  5. Step 5: Solve for x
    x = 81,459,438,921/133,206
  6. Step 6: Final answer
    x = 611,529.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.